{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Autoregressive Moving Average (ARMA): Sunspots data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import statsmodels.api as sm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.graphics.api import qqplot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sunspots Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "::\n",
      "\n",
      "    Number of Observations - 309 (Annual 1700 - 2008)\n",
      "    Number of Variables - 1\n",
      "    Variable name definitions::\n",
      "\n",
      "        SUNACTIVITY - Number of sunspots for each year\n",
      "\n",
      "    The data file contains a 'YEAR' variable that is not returned by load.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(sm.datasets.sunspots.NOTE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "dta = sm.datasets.sunspots.load_pandas().data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "dta.index = pd.Index(sm.tsa.datetools.dates_from_range('1700', '2008'))\n",
    "del dta[\"YEAR\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dta.plot(figsize=(12,8));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax1 = fig.add_subplot(211)\n",
    "fig = sm.graphics.tsa.plot_acf(dta.values.squeeze(), lags=40, ax=ax1)\n",
    "ax2 = fig.add_subplot(212)\n",
    "fig = sm.graphics.tsa.plot_pacf(dta, lags=40, ax=ax2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\statsmodels\\tsa\\base\\tsa_model.py:165: ValueWarning: No frequency information was provided, so inferred frequency A-DEC will be used.\n",
      "  % freq, ValueWarning)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "const                49.659312\n",
      "ar.L1.SUNACTIVITY     1.390656\n",
      "ar.L2.SUNACTIVITY    -0.688571\n",
      "dtype: float64\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\scipy\\signal\\signaltools.py:1341: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  out_full[ind] += zi\n",
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\scipy\\signal\\signaltools.py:1344: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  out = out_full[ind]\n",
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\scipy\\signal\\signaltools.py:1350: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  zf = out_full[ind]\n"
     ]
    }
   ],
   "source": [
    "arma_mod20 = sm.tsa.ARMA(dta, (2,0)).fit(disp=False)\n",
    "print(arma_mod20.params)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\statsmodels\\tsa\\base\\tsa_model.py:165: ValueWarning: No frequency information was provided, so inferred frequency A-DEC will be used.\n",
      "  % freq, ValueWarning)\n"
     ]
    }
   ],
   "source": [
    "arma_mod30 = sm.tsa.ARMA(dta, (3,0)).fit(disp=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2622.6363380644107 2637.5697031720015 2628.6067259096567\n"
     ]
    }
   ],
   "source": [
    "print(arma_mod20.aic, arma_mod20.bic, arma_mod20.hqic)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "const                49.749917\n",
      "ar.L1.SUNACTIVITY     1.300810\n",
      "ar.L2.SUNACTIVITY    -0.508093\n",
      "ar.L3.SUNACTIVITY    -0.129649\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "print(arma_mod30.params)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2619.4036286965425 2638.0703350810313 2626.8666135031\n"
     ]
    }
   ],
   "source": [
    "print(arma_mod30.aic, arma_mod30.bic, arma_mod30.hqic)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Does our model obey the theory?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.9564812226597112"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sm.stats.durbin_watson(arma_mod30.resid.values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax = fig.add_subplot(111)\n",
    "ax = arma_mod30.resid.plot(ax=ax);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "resid = arma_mod30.resid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "NormaltestResult(statistic=49.84499753362218, pvalue=1.500708389242001e-11)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.normaltest(resid)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\scipy\\stats\\stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax = fig.add_subplot(111)\n",
    "fig = qqplot(resid, line='q', ax=ax, fit=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax1 = fig.add_subplot(211)\n",
    "fig = sm.graphics.tsa.plot_acf(resid.values.squeeze(), lags=40, ax=ax1)\n",
    "ax2 = fig.add_subplot(212)\n",
    "fig = sm.graphics.tsa.plot_pacf(resid, lags=40, ax=ax2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "            AC          Q      Prob(>Q)\n",
      "lag                                    \n",
      "1.0   0.009179   0.026285  8.712054e-01\n",
      "2.0   0.041793   0.573041  7.508716e-01\n",
      "3.0  -0.001335   0.573601  9.024484e-01\n",
      "4.0   0.136089   6.408927  1.706199e-01\n",
      "5.0   0.092468   9.111839  1.046856e-01\n",
      "6.0   0.091948  11.793257  6.674313e-02\n",
      "7.0   0.068748  13.297216  6.518949e-02\n",
      "8.0  -0.015020  13.369245  9.976084e-02\n",
      "9.0   0.187592  24.641921  3.393896e-03\n",
      "10.0  0.213718  39.321996  2.229473e-05\n",
      "11.0  0.201082  52.361130  2.344956e-07\n",
      "12.0  0.117182  56.804179  8.574290e-08\n",
      "13.0 -0.014055  56.868316  1.893909e-07\n",
      "14.0  0.015398  56.945556  3.997672e-07\n",
      "15.0 -0.024967  57.149310  7.741497e-07\n",
      "16.0  0.080916  59.296764  6.872179e-07\n",
      "17.0  0.041138  59.853734  1.110946e-06\n",
      "18.0 -0.052021  60.747424  1.548435e-06\n",
      "19.0  0.062496  62.041687  1.831646e-06\n",
      "20.0 -0.010302  62.076975  3.381247e-06\n",
      "21.0  0.074453  63.926647  3.193593e-06\n",
      "22.0  0.124955  69.154760  8.978388e-07\n",
      "23.0  0.093162  72.071023  5.799807e-07\n",
      "24.0 -0.082152  74.346676  4.713034e-07\n",
      "25.0  0.015695  74.430032  8.289071e-07\n",
      "26.0 -0.025037  74.642890  1.367289e-06\n",
      "27.0 -0.125861  80.041133  3.722584e-07\n",
      "28.0  0.053225  81.009968  4.716298e-07\n",
      "29.0 -0.038693  81.523794  6.916661e-07\n",
      "30.0 -0.016904  81.622213  1.151666e-06\n",
      "31.0 -0.019296  81.750926  1.868773e-06\n",
      "32.0  0.104990  85.575050  8.927999e-07\n",
      "33.0  0.040086  86.134550  1.247515e-06\n",
      "34.0  0.008829  86.161793  2.047835e-06\n",
      "35.0  0.014588  86.236431  3.263823e-06\n",
      "36.0 -0.119329  91.248879  1.084460e-06\n",
      "37.0 -0.036665  91.723846  1.521931e-06\n",
      "38.0 -0.046193  92.480494  1.938746e-06\n",
      "39.0 -0.017768  92.592863  2.990697e-06\n",
      "40.0 -0.006220  92.606686  4.697011e-06\n"
     ]
    }
   ],
   "source": [
    "r,q,p = sm.tsa.acf(resid.values.squeeze(), fft=True, qstat=True)\n",
    "data = np.c_[range(1,41), r[1:], q, p]\n",
    "table = pd.DataFrame(data, columns=['lag', \"AC\", \"Q\", \"Prob(>Q)\"])\n",
    "print(table.set_index('lag'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* This indicates a lack of fit."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* In-sample dynamic prediction. How good does our model do?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1990-12-31    167.047414\n",
      "1991-12-31    140.992989\n",
      "1992-12-31     94.859089\n",
      "1993-12-31     46.860866\n",
      "1994-12-31     11.242545\n",
      "1995-12-31     -4.721333\n",
      "1996-12-31     -1.166945\n",
      "1997-12-31     16.185668\n",
      "1998-12-31     39.021870\n",
      "1999-12-31     59.449866\n",
      "2000-12-31     72.170139\n",
      "2001-12-31     75.376777\n",
      "2002-12-31     70.436445\n",
      "2003-12-31     60.731564\n",
      "2004-12-31     50.201767\n",
      "2005-12-31     42.075994\n",
      "2006-12-31     38.114254\n",
      "2007-12-31     38.454614\n",
      "2008-12-31     41.963791\n",
      "2009-12-31     46.869267\n",
      "2010-12-31     51.423244\n",
      "2011-12-31     54.399702\n",
      "2012-12-31     55.321673\n",
      "Freq: A-DEC, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "predict_sunspots = arma_mod30.predict('1990', '2012', dynamic=True)\n",
    "print(predict_sunspots)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12, 8))\n",
    "ax = dta.loc['1950':].plot(ax=ax)\n",
    "fig = arma_mod30.plot_predict('1990', '2012', dynamic=True, ax=ax, plot_insample=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "def mean_forecast_err(y, yhat):\n",
    "    return y.sub(yhat).mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.636980337062944"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mean_forecast_err(dta.SUNACTIVITY, predict_sunspots)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise: Can you obtain a better fit for the Sunspots model? (Hint: sm.tsa.AR has a method select_order)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Simulated ARMA(4,1): Model Identification is Difficult"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.tsa.arima_process import ArmaProcess"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(1234)\n",
    "# include zero-th lag\n",
    "arparams = np.array([1, .75, -.65, -.55, .9])\n",
    "maparams = np.array([1, .65])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's make sure this model is estimable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "arma_t = ArmaProcess(arparams, maparams)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arma_t.isinvertible"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arma_t.isstationary"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* What does this mean?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax = fig.add_subplot(111)\n",
    "ax.plot(arma_t.generate_sample(nsample=50));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arparams = np.array([1, .35, -.15, .55, .1])\n",
    "maparams = np.array([1, .65])\n",
    "arma_t = ArmaProcess(arparams, maparams)\n",
    "arma_t.isstationary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "arma_rvs = arma_t.generate_sample(nsample=500, burnin=250, scale=2.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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FRH0AcpD5zROS/lVLqy5tVhk6IRnOExJJM5mf6nam0j3K6izd2ANXxcVetZ7gthsuZ911NzCwYCm/ddMvtO0is266uG3ohOTef/oO2TOH+fPmTuiEJDOb/0OOmHeizWnLFDzPaa0mr/B589TnH96mdL1T+F482dddvO2GP54F88qvb8rl6D+OfG0jay167ZNYVaVG7mOnPtbGQkqseyK/h6l8CRP9e6wPJu/9n//AN/Yc4rljg5wxt4fvedEifuO6l9PTPE4X7funzBtnnxut3USNtdx42/X0151jPHZyeuXZ8zl74byJF1kBg3KX6LYhAVM91CQzT4SrwRPTeTLYNH8ezEbbefu/Se/+b7L2/P/I4eeOn2ibQ8/FqctxSnA7/SA5MiSNPEjVB5Nfuv1Btn7n6RMH4YtfvIj/8sZLT7zeoqBV/Mafp6x3ZD2F9Y0RbiZzQB1prOP9L1zz3Xz9jt/j2MKl/Pt/+w5eed5ivvbtA6duxxHbWpKq8MDOA2z9ziGePz4IwNFjg2z9ziHuengvl51/ZsXVVacTOtUNyl2ibA/cdBkcTI4PJvXB5PjgIIODcHxwsPlzY/7Q9GDmyXA6Skg7JcgBf/etp3jg2wd47ljjoHRkoM4DOw/w+/c8ytqVZ47SUzds3rCerjIB69nnjwOw9TvtuYjvgZ0H+Prup085CD+0+xB/+fU9034QHhxMtuw6yI6nnmXl2QtYs2LxiR6S6Tbnye3MeXI7r3jJe6gPQn1G9ctNrSq3czdxO2ssZfePHU89y0Dz+Dxk4PggO556tquDcicwKHeBY/VBjgzU+ehPXcoPX/97HFuwjPf9/L/h+1aexaP7Do/dk1kwr8h4HwkdbgbHTTv2c3wwp713b/sTh3n+2KkHpeePD/LI3sO84iWLp3flFajqIDw4mHzkSw/zyN7DDBwfpHdODy9dupD3X3ux4WIKuZ3bw+2ssbSyf6w8ewG9c3pOdGYA9M7pYeXZC6a7bLXIoDyLDBwf5OixOkcH6hwZOH5i+lj9ZCrt2budeWznwiW/wv5nj7WttsHm5yvDa5lO3XZQqur1btl1kEf2Hj6x3qGTkS27DtpLMoXczu3hdtZYWtk/1qxYzEuXLuShbz8JtTnMmzuHly5dyJoVE+u48ZOO6hiUxzFwfHDaLihppVf1+WONUHxk4DhHBuo8d6zethDaCVo9KHWaql6vHye2h9u5Pbp1OxvCJqaV/aOnJ3j/tRfzjn//S9QXLuPfvfPGCW9nP+molkF5HFu/c/rdIjTztXJQ6kRVvd5u67mvitu5PbpxOxvCJq7V/aOnJ+h96hF46hEuO/89E16vn3RUy/soa9YaOij17fwql51/5qw/6Ffxeod6sjneuG/0vOab7Gztua9Kldt5cDB5YOcB/vyBx3hg54ETw6hmo27cn4eHsOTUEKZTVbV/jNWTrelnj3IF/JhLs0W39dxXpart3G29jd24P3frcJMy/OSuOxmU26zb3ng0+5X9OFGTU8V27saPfLttf241hHVbx08V+0e3XXMz0xiU26wb33gkdaZO7W3stvDWilZCmB0/7dGNn3TMJAblkrzpuKTZrsqPfMseYw1vk9NKCLPjp3267ZOOmcSgXII3HZfUDar6yLeVY6zhbfLKhjA7ftQNvOtFCa1cJdyNV1VLs0k33QViqLdx4dY76PvWPfzcVRe1pWe2lWOsdwhon6GOn+Hs+NFsUzooR8SGiLg3Im5qpU0nauVAXNUbj6TWDfV03nL3dj67+TFuuXs7H/nSw7M+LLf7toOtHGMNb+3TqR0/3XSyq9ZFlvh6uIi4DvixzHxbRHwK+I3M3D7ZNsOddf7Fec37PzXpWlq15cEtAKy5dE3h44efP87giG30zHPHefzg0VO+WS8Czl3cxwvOmNholu1bvw7ARatfVqLq8lyv63W95U3F334ryr7ezOTw841v8Dxjbo2F82pETDzwdtJ2zky+vf8oR54/BgTRE/TNrXHeWX0Tfs1V7c9VamXf+qdHHoVaL8uXv3jS+1a7De0fR4/VyWzsV+3cP6padqbqm1tjbq2awQ23v/M1mzNz7XjtygblW4C/zMwvRsRbgL7M/IMSbW4EbgRY+OILv/eHP3jbpGuZbkVBeSr+0FrRLaHE9brembbefc88z5OHB06bv2RhL+e8YN60rbcVUxEcW1Hm9bZ6jB06MXj+WJ15JU4MWlFVEOq0wDqk3dur6pPdqszUcD+bg/IG4JbMfDAi3gBclpm/Odk2w61duzY3bdo06Vqm25ZdBwu/wrrK2w+966d/DIDf/ZPPt2V9rtf1ut6GB3Ye4Ja7t59yMe68OT383FUXTfjipXa/3qmouRVlX2+n3uKtlddb9vZfQ0OCRl502QnD+lr5eyiz7J8/8Bif3fwYw5NPAG/83pdw3WUvmXQNnaLd23miy7506UKWTLCTYapFxISCctnTp8NAX3N6IcVjnSfSpmP19ASXnX+mV/ZKXWRoTObIuzHM5DGZnXpngm46xg4F3cOrfwJqc7jl7u2TCrpDFz8ypxfonDt9DA4mA2e/lPrCZTyw84DfcqcZqWxQ3gxcAdwHXApsK9lGkjrG0MW4ndTTaTBon7LBr9Wg24knQ62eHJTViSe7qlbZoHwHcE9ELAeuBd4SER/OzJvGaPPq1kqVNNtU0aPUqk7r6TQYtEcrwa/VoNuJJ0NV9YJ34smuqlUqKGfmoYjoB64Bbs7MPcCD47R5usVaJc0iVfUodRuDQXu0EvxaDbqdeDJUZS94p53stqoTOyRmktKXeGbmAeD2VttI6k6dOq6yE3VbMKhCK8Gv1aDbiSdDndgL3omq7JCYLQF99t4LRVNqtuzwmjmq7FFyf9ZUayX4TUXQ7bSToVZPDvwbnpiqOiRm0yeGBmWNazbt8Jo5qupRcn/WdJiKXuFOCrqtauXkwL/hiauqQ2I2fWJoUNa4ZtMOr5mjqnGV7s+aDp04/KFqZU8O/BueuKo6JDrxTiyjMSiP48z5c1k4rzbt65nM977MrfUwmEmtJ6i34TvqZ9MOr5mjqmDh/tw+3fbxeLf1ClfFv+GJq6pDYjaNQTcoj+P8GfhL7ettBPdXfddZPHesznPH6hwZaPx77lido8fqHK9PXYCeTTu8ZpYqgoX7c3v48bimi3/DE9dqh0TZk91OvBPLaAzKHe6MuTXOmFtj8fxT5z9/vM7RgUZoPjJwcrpMgJ5NO/xM1209cFWocn/upt+vH49ruvieNDllOyRaOdmdTUORDMqz1Lw5NebNqTHysDFwfJD6YJLNb7ofGvKRQDZ/yGHzm834729/FV/Z/iTbnniGVctewGteeg61ETt8jhg/MjKSDw4mxweTevPf8OnGz4MnptswomTGsQeuPao6gHfb79ePxzVdZlMIm8laPdmdLUORDMpdpndOT+llf/yV505hJWMbHqoXzGvspquXLzqRvpMk82QYz8wTAT9PNhr2+MnlGDGv2fTE8wyZN7cxxOXcxX2nrO/kuobPO1nTYHP+8PWMXH5onY3JxmObHjvIN4sOSo8d5LLzOvtAM9NUcQDvth5WPx7XdJotIWwm82S3waCsGamnJ+htXqz4/FkXMrBgGZt27Kd/1dLTerKny7zmScV5Z88fp+XU+NtvPnVKqIDGQWlwMFl34dkn5p0I2sM+DRg+f/i8U9sVnyQMWXhG43Bw6YoXnmhTGOzHOFkpWn/R+nJki3E+QRjvA4bhJyMnaz39hKWo7pG1F62v+GLbyX3sse/wc4VvOvsOP8fZC3tPW89pn/oUPDZ2fRN/vIzTfocjvOalZ/PlrXv4pyee4fljg8yb28N3L30Br77w7BN/w+Pts6c/0n6n77tjPDbKhp7sK5iO35c0WZ7sNhiUNWPVB5PrN9zPvot+lOyZw7v/9GusWbGY2264vG1huZ0uWb6Ivt4aRwbqJ+b19dYaPenDRETz/5HPUH6b1AeT585snJDc+82n2npC0i2uvGgJt2967LTf75UXLeG7l72gwsqmz+f+7fezcdtetu4+xOrli9yvOsxowb/xWMnnLFnLqM9XUMhETnTHO9GbXA2Te3zkSXBj3lDbPOXnU9qNsp7RXstodY3f8dBoceGSBWz8p718/fFDPHeszhlza7zs3EW8ce1LqPXE2B0g4/SFDC27cN7Mj6Ezv0J1rY3b9rJl10Gy1uhtOzJQZ8uug2zctperL15WcXVTr3/VUtasWMyWXQc5OlCnr7fGmhWL6V+1dFrX220nJFWp6vdbpVpPcPXFy2bl32s3iNPPxoc91sZCxjRjCpmV/seN67r+ZNegrBnrod2HODqs9w3g6ECdrbsPzco33lpPcNsNl7f9oNRtJyRVqer3K0llebJrUNYMNtGhCLNJFQelbjshqZJvOpLUWcrfAkGaZkMfVc/vrRHA/DZ+VF0fTI4svoCD567jroefaMs3IFZl6IRkuNl+QiJJ0kRMukc5IjYAq4H/nZkfHqXNC4H/AdSAZ4E3Z+ZAK4Wq+1T1UXW3jdntxrGzkiRNxKSCckRcB9Qyc11EfCoiLsrM7QVN3wp8LDP/KiJuBX4I+PwU1KsuU8VH1d02Ztexs5IkFZtsj3I/cHtz+k7gCuC0oJyZnxj24xJgb5nipCp045hdx85KknS6MYNyRHwSWDVs1g8AG5rT+4HLxll+HXBmZt43yuM3AjcCnHfeeRMsWZpe3XgRoSRJOt2YQTkz3zH854j4baCv+eNCxrgYMCLOAj4O/OQYz78eWA+wdu3a2Xu1lDqKY3YlSRJMfujFZhrDLe4DLgW2FTWKiF7gM8D7MnNnSxVKbeaYXUmSBJMPyncA90TEcuBa4NURsRr46cy8aVi7G2gMy/hARHwAuDUz/2xKKpbawDG7kiRpUkE5Mw9FRD9wDXBzZj4NPA3cNKLdrcCtU1WkJEmS1G6Tvo9yZh7g5J0vJEmSpFnJb+aTJEmSChiUJUmSpAIGZUmSJKmAQVmSJEkqYFCWJEmSChiUJUmSpAIGZUmSJKmAQVmSJEkqYFCWJEmSChiUJUmSpAIGZUmSJKmAQVmSJEkqYFCWJEmSChiUJUmSpAIGZUmSJKnApINyRGyIiHsj4qYJtF0WEV8rV5okSZJUnUkF5Yi4Dqhl5jrggoi4aJxFPgr0lS1OkiRJqspke5T7gdub03cCV4zWMCKuAp4F9pSqTJIkSarQnLEejIhPAquGzfoBYENzej9w2SjL9QK/Cvxz4I4xnv9G4EaA8847b8JFS5IkSdNtzKCcme8Y/nNE/DYnh1IsZPQe6fcCn8jMgxEx1vOvB9YDrF27NidYsyRJkjTtJjv0YjMnh1tcCuwYpd3rgXdFxEZgTUT8fqnqJEmSpIqM2aNc4A7gnohYDlwLvDoiVgM/nZkn7oKRma8dmo6IjZn5s1NSrSRJktQmk+pRzsxDNC7ouw94XWY+nZlbh4fkgmX6W6pQkiRJqsBke5TJzAOcvPOFJEmSNCv5zXySJElSAYOyJEmSVMCgLEmSJBUwKEuSJEkFDMqSJElSAYNyh6kPJkcWX8DBc9dx18NPUB/0Cw0lSZKmw6RvD6fq1AeT6zfcz76LfpTsmcO7//RrrFmxmNtuuJxaz+hfFS5JkqTJs0e5g2zctpctuw6StV6IHo4M1Nmy6yAbt+2tujRJkqRZx6DcQR7afYijA/VT5h0dqLN196GKKpIkSZq9DMod5JLli+jrrZ0yr6+3xurliyqqSJIkafYyKHeQ/lVLWbNiMfN7awQwv7fGmhWL6V+1tOrSJEmSZh0v5usgtZ7gthsuZ+O2vWzdfYjVyxfRv2qpF/JJkiRNA4Nyh6n1BFdfvIyrL15WdSmSJEmzmkMvJEmSpAIGZUmSJKmAQVmSJEkqYFCWJEmSCkRmVl0DABGxD9hZ0erPAZ6saN2dxm01cW6riXNbTZzbauLcVpPj9po4t9XEzdRtdX5mLhmv0YwJylWKiE2ZubbqOjqB22ri3FYT57aaOLfVxLmtJsftNXFuq4nr9G3l0AtJkiSpgEFZkiRJKmBQblhfdQEdxG01cW6riXNbTZzbauLcVpPj9po4t9XEdfS2coyyJEmSVMAeZUmSulBEnBUR10TEOVXXMtO5rbqC4pPYAAAgAElEQVRX1wfliNgQEfdGxE1V1zJTRcSciPh2RGxs/nt51TXNVBGxLCLuaU7PjYgvRMRXI+LtVdc204zYVudGxGPD9rFxb9nTLSLihRHxpYi4MyI+FxG9HreKjbKtPHYViIgzgb8AXgX8n4hY4n5VbJRt5X41hubx/WvN6Y7er7o6KEfEdUAtM9cBF0TERVXXNEO9AvjTzOxv/vvHqguaiZoH008DC5qz3g1szszvB94YES+orLgZpmBbXQ78p2H72L7qqptx3gp8LDPfAOwB3oLHrdGM3FbvxWPXaF4B/GJm/ifgy8BVuF+NZuS2ejvuV+P5KNA3G3JWVwdloB+4vTl9J3BFdaXMaK8GfiQi/q55Zjin6oJmqDrwZuBQ8+d+Tu5ffwN07H0kp8HIbfVq4Gcj4oGI+Eh1Zc08mfmJzPyr5o9LgH+Jx61CBdvqOB67CmXm/83M+yLitTR6Sn8Q96tCBdvqKO5Xo4qIq4BnaZys9tPh+1W3B+UFwOPN6f3Asgprmcn+Hnh9Zr4KmAv8cMX1zEiZeSgznx42y/1rFAXb6ks0DqjfB6yLiFdUUtgMFhHrgDOBXbhfjWnYtvorPHaNKiKCxgnrASBxvxrViG31NdyvCkVEL/CrND7NgVnwPtjtQfkw0NecXojbYzT/kJnfaU5vAjruo5OKuH9N3N9m5jOZWafxJuQ+NkxEnAV8nMZHvu5XYxixrTx2jSEb3gX8A/Aa3K9GNWJbLXe/GtV7gU9k5sHmzx1/vOq4gqfYZk5+DHApsKO6Uma02yLi0oioAT8BPFh1QR3C/WvivhwRL46I+cAbgK9XXdBM0eyh+QzwvszcifvVqAq2lceuUUTEeyLiZ5o/LgZ+E/erQgXb6vfcr0b1euBdEbERWAP8KB2+X3X1fZQjYhFwD3AXcC3w6hEfBwuIiJcBfwIE8PnM/EDFJc1oEbExM/sj4nzgi8Bf0+iteXWzx1RNw7bV64BbgQFgfWb+TsWlzRgR8W+Aj3DyzfgPgF/E49ZpCrbV/wF+Eo9dp2leUHs7MI/Gien7aFxL4X41QsG2uhX4Y9yvxtQMyz9Gh+esrg7KcOIP4BrgbzJzT9X1aHaJiOU0zqa/3GkHB81cHrc0HdyvNB06fb/q+qAsSZIkFen2McqSJElSIYOyJEmSVMCgLEmSJBUwKEuSJEkFDMqSJElSAYOyJEmSVMCgLEmSJBUwKEuSJEkFDMqSOkZEvC0ijkbEExGxOyLeP03r+eWI+OVJ1vWHk2h/Y0RsKlXcDBYR/c2vrW31eV4TEX8+BSVJUksMypI6zf/KzGXAK4B/FRGvKftEEfGhovmZ+dHM/GjZ552Aq4BXRsRZE2kcET8fEYunsZ5KNE8wVo6cn5l/m5nXtb8iSTqVQVlSR8rMJ4G/AK5s4Wk+OEXlTFhEBI2aPw/0T3CxnwdmXVAG3gasrLgGSRqVQVlSJwtgECAi/v+IeDwivh0R159oELExIt4YEXdExN3Nef85IvY0p/dExEOnPGnEh0b2NkfEO5vP/XhEvKeFml8OPAZ8gUbPMhGxMiJ2jFx/RPy7Zp0rgL9v1jq/2eYNEfGNiNg1fAhKRLw1Ih6NiO9ExH8YNv9fRsS3ImJHRLxtrO3TnP+HEfFvIuJTEbF92PxXRcTXImJvRKxvBv9RRcT3R8RDzXo+ExFzIuLHm6/rNcCfN1/XqmHLnDaEIyIui4gHmkNu/mtE1Ia2W0T8YvM5/iEiXjSxX4Mkjc+gLKkjRcRLgB8D7o6I82j00n438Grgv4xo/hHgU8A/B8jM92Tmi5rTL8rMS8ZZ1xnA9c3nvgj45YhYWLL0q4D/2/x39VgNM/N3mnXuAr6vWeuRiDgb+O/Am4CXAW+OiB+OiIuB3wRe25z/CxGxKiK+Z9j81wC/HhEvH7aqU7bPMO8Dvgpc3twOvcAf0+gJPg/4LuAnxnm9bwf+Q2a+GFgIvCEz/1fzdf0tcF3zdW0b7QkiYi7wWeC9zXVeDLyj+fBy4EXN/78N/Itx6pGkCZtTdQGSNElDvZHPAh/LzM3QGMcL/BLwOmDZiGU+lZmfL7vCzHwuIn6GRli+EjgLOAc4XOLprga+H/gZ4JyIWF7QJoAc4zleA2zJzH+ARu8v8MPANuAvMvOxZrvlzcff3Zy/q/nz54AfBP6x2W607fPFzNww7OdVNIZKfLn5cy+wGvjcGLX+EvCmiLiNxuv+szHajuZ7gIHMvLNZ/+8BNwBfpLGdPpSZgxGxGXhhieeXpEL2KEvqNP+r2QN5YWb+LkBEXEkjrD1Ko7dzpPtaWWFEXAj8DbCfRvDbVfJ5ajSC9nc1e1Rvpzn8YoRzJ/B0OWL6tGDdHJ6xagLtR9s+I+cH8Ehz+w/14v7X0QqMiJ7mc5wL/C5wx2htJ2C0+vdk5pGCNpLUMoOypNngcuDvgD+l0bM6UU9FxPkRMTcixuqJfCWwg8bwhFXAS0rW+X3A7sx8uvnz/TR6mA/R6F3ua/Ywj7zjw5PA+dFwFo0hC2si4mURsQj4V8CXgLuAfxYRy5vzfwdYAPwV8CMRcW5EvJjGEIs7S9T/DWB+RFzZDMG3AT87RvuzaAyV+C3gIKefFDwJnA/QHE4y1nrnRcTrm8M/3kHj9YLhWNI0MihLmg0+S2NM7m4aQwEOR8R3T2C5X6ExBvc7NG43N5q/bv7/BPAW4Fs0xkNP1tU0wvGQ+4GrM3M/8AfAV2j0vP6PEcv9GvCHNILlD2bmUzTC8WeBh4DPZOYXM3MrcFPzNX0duDUzH8jMb9AYb/wV4F7gg5n5j0xSZg4AbwY+DjwOPAfcOkb7J4FP0zjJ+ANgC6dut98E3hcRT9EYSjHa8xwD3khj7PkO4J+AT062fkmarMj0ZFySJEkayR5lSZIkqYBBWZIkSSpgUJYkSZIKGJQlSZKkAgZlSZIkqcCM+Wa+c845J1euXFl1GZIkSZrlNm/e/GRmLhmv3YwJyitXrmTTpk1VlyFJkqRZLiJ2TqSdQy8kSZKkAgZlSZIkqYBBWZIkSSpgUJYkSZIKlA7KEbEsIu4Z4/G5EfGFiPhqRLy97HqmU30wuevhJ7jlru3c9fAT1Aez6pIkSZI0Q5S660VEnAl8GlgwRrN3A5sz80MR8cWI+ExmPlNmfdOhPphcv+F+tuw6yNGBOn29NdasWMxtN1xOrSeqLk+SJEkVK9ujXAfeDBwao00/cHtz+m+AtSXXNS02btvLll0HOTJQJ4EjA3W27DrIxm17qy5NkiRJM0CpoJyZhzLz6XGaLQAeb07vB5aNbBARN0bEpojYtG/fvjKllPbQ7kMcHaifMu/oQJ2tu8fK/pIkSeoW03kx32Ggrzm9sGhdmbk+M9dm5tolS8b9cpQpdcnyRfT11k6Z19dbY/XyRW2tQ5IkSTPTdAblzcAVzelLgR3TuK5J61+1lDUrFhP1AchB5jfHKPevWlp1aZIkSZoBpuQrrCPiKmB1Zv7OsNmfBr4YEVcCq4H7p2JdU6XWE9x2w+Wsu+4GBhYs5bdu+gX6Vy31Qj5JkiQBLQblzOxv/n83cPeIx3ZGxDU0epV/LTPrpz9DtWo9wfyDjzL/4KNcffFpQ6glSZLUxaakR3k0mbmbk3e+kCRJkjqG38wnSZIkFTAoS5IkSQUMypIkSVIBg7IkSZJUwKAsSZIkFTAoS5IkSQUMypIkSVIBg7IkSZJUwKAsSZIkFTAoS5IkSQUMypIkSVIBg7IkSZJUwKAsSZIkFTAoS5IkSQUMypIkSVKB0kE5IjZExL0RcdMoj58ZEV+MiE0R8cnyJUqSJEntVyooR8R1QC0z1wEXRMRFBc2uB/44M9cCL4iItS3UKUmSJLVV2R7lfuD25vSdwBUFbZ4CXhYRi4EVwK6S65IkSZLarmxQXgA83pzeDywraPMV4Hzg54CHm+1OERE3NodmbNq3b1/JUiRJkqSpVzYoHwb6mtMLR3meDwLvzMxfB74B/OuRDTJzfWauzcy1S5YsKVmKJEmSNPXKBuXNnBxucSmwo6DNmcDLI6IGXA5kyXVJkiRJbVc2KN8BXB8RHwPeBDwUER8e0eY3gPXA08BZwJ+WrlKSJElqszllFsrMQxHRD1wD3JyZe4AHR7T5O+CSliuUJEmSKlAqKANk5gFO3vlCkiRJmlX8Zj5JkiSpgEFZkiRJKmBQliRJkgoYlCVJkqQCBmVJkiSpgEFZkiRJKmBQliRJkgoYlCVJkqQCBmVJkiSpgEFZkiRJKmBQliRJkgoYlCVJkqQCBmVJkiSpgEFZkiRJKmBQliRJkgqUDsoRsSEi7o2Im8Zp94mI+NGy65EkSZKqUCooR8R1QC0z1wEXRMRFo7S7EnhRZn6hhRolSZKktivbo9wP3N6cvhO4YmSDiJgL/DdgR0T8eNGTRMSNEbEpIjbt27evZCmSJEnS1CsblBcAjzen9wPLCtr8DLAVuBl4VUS8e2SDzFyfmWszc+2SJUtKliJJkiRNvbJB+TDQ15xeOMrzvBJYn5l7gD8CXldyXZIkSVLblQ3Kmzk53OJSYEdBm0eAC5rTa4GdJdclSZIktd2cksvdAdwTEcuBa4G3RMSHM3P4HTA2AJ+KiLcAc4E3tlaqJEmS1D6lgnJmHoqIfuAa4Obm8IoHR7R5BvipliuUJEmSKlC2R5nMPMDJO19IkiRJs4rfzCdJkiQVMChLkiRJBQzKkiRJUgGDsiRJklTAoCxJkiQVMChLkiRJBQzKkiRJUgGDsiRJklTAoCxJkiQVMChLkiRJBQzKkiRJUgGDsiRJklTAoCxJkiQVMChLkiRJBUoH5YjYEBH3RsRN47RbFhFfK7seSZIkqQqlgnJEXAfUMnMdcEFEXDRG848CfWXWI0mSJFWlbI9yP3B7c/pO4IqiRhFxFfAssKfkeiRJkqRKlA3KC4DHm9P7gWUjG0REL/CrwHtHe5KIuDEiNkXEpn379pUsRZIkSZp6ZYPyYU4Op1g4yvO8F/hEZh4c7Ukyc31mrs3MtUuWLClZiiRJkjT1ygblzZwcbnEpsKOgzeuBd0XERmBNRPx+yXVJkiRJbTen5HJ3APdExHLgWuAtEfHhzDxxB4zMfO3QdERszMyfba1USZIkqX1KBeXMPBQR/cA1wM2ZuQd4cIz2/aWqkyRJkipStkeZzDzAyTtfSJIkSbOK38wnSZIkFTAoS5IkSQUMypIkSVIBg7IkSZJUwKAsSZIkFTAoS5IkSQUMypIkSVIBg7IkSZJUwKAsSZIkFTAoS5IkSQUMypIkSVKBOVUXoPapDyYbt+3lod2HuGT5IvpXLaXWE1WXJUmSNCMZlLtEfTC5fsP9bNl1kKMDdfp6a6xZsZjbbrjcsCxJklTAoRddYuO2vWzZdZAjA3USODJQZ8uug2zctrfq0iRJkmYkg3KXeGj3IY4O1E+Zd3SgztbdhyqqSJIkaWYrHZQjYkNE3BsRN43y+Asj4ksRcWdEfC4iesuXqVZdsnwRfb21U+b19dZYvXxRRRVJkiTNbKWCckRcB9Qycx1wQURcVNDsrcDHMvMNwB7gh8qXqVb1r1rKmhWLifoA5CDzm2OU+1ctrbo0SZKkGalsj3I/cHtz+k7gipENMvMTmflXzR+XAKcNho2IGyNiU0Rs2rdvX8lSNBG1nuC2Gy5nyfYvsPixr/Lxf/FKL+STJEkaQ9mgvAB4vDm9H1g2WsOIWAecmZn3jXwsM9dn5trMXLtkyZKSpWiiaj3B/IOPsvjx+7j64mWGZEmSpDGUvT3cYaCvOb2QUQJ3RJwFfBz4yZLrkSRJkipRtkd5MyeHW1wK7BjZoHnx3meA92XmzpLrkSRJkipRNijfAVwfER8D3gQ8FBEfHtHmBuAy4AMRsTEi3txCnZIkSVJblRp6kZmHIqIfuAa4OTP3AA+OaHMrcGvLFUqSJEkVKP0V1pl5gJN3vpAkSZJmFb+ZT5IkSSpgUJYkSZIKlB56IU1UfTDZuG0vD+0+xCXLF9G/aqn3cJYkSTOeQVnTqj6YXL/hfrbsOsjRgTp9za/O9lsBJUndpJVOIzucqmNQ1rTauG0vW3Yd5MhAHYAjA3W27DrIxm17ufriUb/QUZJKM1Ropmml08gOp2oZlDWtHtp9iKPNkDzk6ECdrbsPGZQlTTlDhWaiVjqN7HCqlhfzaVpdsnwRfb21U+b19dZYvXxRRRVJms2Gh4rk1FAhVWWsTqPpXFats0d5HPd+86mqS5hSh44eA9r3us6YU+O7zlnAQ99+EmpzmDd3Dt91zgLOmFObddtWUvX+8ut7CkPFX359D/N7fctTNWoR9M7p4fnjgyfm9c7poSdi3PfCVpad6dZdeHbVJYzLHmVNq56e4P3XXszCrXfQ9617+LmrLuL9115Mjx+BSpoGK89eQO+cU9/aeuf0sPLsBRVV1B6Dg8kDOw/w5w88xgM7DzA4mFWXNGNVsa3WrFjMS5cuhOMDkIPMm9PDS5cuZM2KxdO6rFrn6XUFBgeTLbsOsuOpZ1l59gLWrFg8q4NjT0/Q+9Qj8NQjXHb+e6ouRzNIt/0taPoNhYrhn2LN9lAxOJh85EsP88jewwwcH6S3GaTslDhdq9uq7DFrqNPoHf/+l6gvXMa/e+eNbVlWrTMot5kHtPZpJYQZ4KZfVW9Ymt26MVRs2XWQR/YePvHR/PPHB3lk72G27DrIZeefWXF1M0sr26rVY1YrnUZ2OFXHoNxmHtDao5UDmicz7VHlG5Zmt04MFa2c+O146lkGho1fBRg4PsiOp571fWWEVraV79/dyaBcUtmDmge09mjlgObBsD268Q3LTzkmrpteb6snfkPjskde7NWOcdmd9ntqZVv5/t2dDMoltHJQq/KA1k1aOaC1ejDstDeOqnTbG5afckxct73eVk/8Wh2XXfaY1Ym/p1a2le/f3an0XS8iYkNE3BsRN7XSphMNP6glpx7UxuPVq+3RypXvrSw79MZxy93b+ezmx7jl7u185EsPewV6gVb+FjrxzgatHDdaWbYTddvrHevEbyJaubtQK8esTvw9tbKtfP/uTqWCckRcB9Qycx1wQURcVKZNp2rloObt0tqjqlvxdOIbR1W67Q2rleNGq0Gq03Tb652KE7+hcdl9O7/KZeefOeH3lFaOWZ36eyq7rXz/7k6ROfmeroi4BfjLzPxiRLwF6MvMP5hsm+HOOv/ivOb9n5p0La3a8uAWANZcuqbw8UPPHTtt3jPPHefxg0cZvuki4NzFfbzgjImNZtm+9esAXLT6ZZOsuDXdtN7M5J8eeRRqvSxf/mIWzqsRMbEDWtll9z3zPE8eHjht/pKFvZzzgnmTfg3doOy+0crvtwqtHDem4pjTSao8xmYmh5+v89yxOmfMrbVlv8pMvr3/KEeePwYE0RP0za1x3ll9k1p3mdfcyjGrk/fLVt6TOm3ZKvbpia530Rlzp72O0dz+ztdszsy147UruycvAB5vTu8HLivTJiJuBG4EWPjiC0uW0prRAvJYFs6r0Te3xtFjdTIbB4a+5k4wUa0Exlb+0LppvRHBqovK7Vdllz1jbo0ITnvjmDd3YvtGFeG+ymWh/L7Ryu+31ZrL7JOtHDdaPeZU8XpbWbaqY2yrgbXsdo4Izjurj8PP9/L8sTrzSoaZMq+5lWPWVPyeqjpRbuU9qZOWnYqTsDK/o6k6+ZsJygblw0Bfc3ohxUM4xm2TmeuB9QBr167NP3vHupLlTJ/Rvh6yygu23vUn7wPg137l821ZX7eut4ypuGBr8IzFUJvDvmee54V9s3fZqkxFzWX3ySruetHq6x0cTN7x5Q3UFy7jR17+hknX3Mqy7T7GPrDzALfcvR2i8XaVCfXB5Edfce6Eb1nYSX8LUP39zMv8LXXqtq5CK/v0kDK/o4mut8qvsL79nRNrVzYobwauAO4DLgW2lWzTsXp6gsvOP3PGXmE/WwwOJgNnv5T6wmU8sPPAjL+DxNAYtjJvHENjBZnTC5S7pV0nLVuVKmtu5bhRdtlWXu9QIDm8+iegNodb7t4+6RO/MstCNcfYqbhlYSf9LUBrx6yh5dv9e+rUbV2Fqu4Q1Il3JhpN2bte3AFcHxEfA94EPBQRHx6nzf8uX6a60fA32qPfdWXH3EFi6I3justeMqkLRaq62KvbLjLrxJpb0crrPSWQRE+pO3WUWbYqrVxU18n7VdljVlU6eVu3W6sXig51Vh09//t5YOeBCb//duKdiUZTKihn5iGgn0Zv8esy88HMvGmcNk+3Vqq6TSe+0baiqlvaVbVsVap646hKVeGvE8PM0N1U5s3pIWDW37KwU7mtJ66VfbqVzqpW1jvTlL4sNTMPALe32kYazWz66GYihg4sI8cKTuaWdp20bFVaqbnV4QRVaOX1tvIFC5345QytDEPoxL+FTuW2nriqhgO2OqRnJpnZ929RV+vEN9pWtHJg6cRlq1LVG0dVqgp/nRpmyo657cS/hU7ltp6csvt0q51Vs+VaLoOyZqxOfaNtRRUXe1W5bFWqeuOoShXhrxvDTCf+LVSplYu13dbTr9s6q0ZjUNaEVHH3iW58o9XM1o1vHN12EqX26MRhTN2mGzurihiUNa4qD2i+0Wom8Y1DmhqdOIyp29hZ1WBQHkeVN8MezaK+xlc+tqu2ux5+gm89+ewpB7RvPfkszx2vc/XFy9pSgzRTfP7CK9i4bS9bdx9i9fJF9K9aSq3L3jikVv39jv2Fw5gGM2fk+243+/6Lzqm6hEoZlDWuh3Yf4uhA/ZR5RwfqbN19yKCsrlPrCa6+eJn7vtSCS5Yvoq+3xpFh7y19vTVWL19UYVXS6cp+4Yi6yNABbTgPaJKksvpXLWXNisXM760RwPzeGmtWLKZ/1dKqS5NOYY+yxjV0QNuy6yBHB+r0eUCTJLWg1hPcdsPlDmPSjGdQ1rg8oEmSpprDmNQJDMqaEA9okiSp2zhGWZIkSSpgUJYkSZIKGJQlSZKkAgZlSZIkqYBBWZIkSSow6aAcERsi4t6IuGmMNi+MiC9FxJ0R8bmI6G2tTEmSJKm9JhWUI+I6oJaZ64ALIuKiUZq+FfhYZr4B2AP8UGtlSpIkSe012fso9wO3N6fvBK4Ato9slJmfGPbjEmBvmeIkSZKkqowZlCPik8CqYbN+ANjQnN4PXDbO8uuAMzPzvlEevxG4EeC8886bYMmSJEnS9BszKGfmO4b/HBG/DfQ1f1zIGEM3IuIs4OPAT47x/OuB9QBr167NiZUsSZIkTb/JXsy3mcZwC4BLgR1FjZoX730GeF9m7ixdnSRJklSRyQblO4DrI+JjwJuA/x0RqyPiwyPa3UBjWMYHImJjRLx5CmqVJEmS2mZSF/Nl5qGI6AeuAW7OzKeBp4GbRrS7Fbh1qoqUJEmS2m2yd70gMw9w8s4XkiRJ0qzkN/NJkiRJBQzKkiRJUgGDsiRJklTAoCxJkiQVMChLkiRJBQzKkiRJUgGDsiRJklTAoCxJkiQVMChLkiRJBQzKkiRJUgGDsiRJklTAoCxJkiQVMChLkiRJBQzKkiRJUgGDsiRJklRg0kE5IjZExL0RcdME2i6LiK+VK02SJEmqzqSCckRcB9Qycx1wQURcNM4iHwX6yhYnSZIkVWWyPcr9wO3N6TuBK0ZrGBFXAc8Ce8Zoc2NEbIqITfv27ZtkKZIkSdL0GTMoR8QnI2Lj0D/g3cDjzYf3A8tGWa4X+FXgvWM9f2auz8y1mbl2yZIlky5ekiRJmi5zxnowM98x/OeI+G1ODqVYyOhB+73AJzLzYES0XKQkSZLUbpMderGZk8MtLgV2jNLu9cC7mr3QayLi90tVJ0mSJFVkzB7lAncA90TEcuBa4NURsRr46cw8cReMzHzt0HREbMzMn52SaiVJkqQ2mVSPcmYeonFB333A6zLz6czcOjwkFyzT31KFkiRJUgUm26NMZh7g5J0vJEmSpFnJb+aTJEmSChiUJUmSpAIGZUmSJKmAQVmSJEkqYFCWJEmSChiU/197dxdiRR3Gcfz722Mbatkm6daGBUJIRqbSi/a6VBZFVkShVHqRUVR4441FdVFkREQQgZaxRRgUFRX0aiptCr2XJmksdVFZahZl24skrU8XM+W2ztnm1Lpz5pzfBxZmhtndh4dn//PsnJn/v2T69gS/tU1k55EzWfPpt/TtiaJDMjMzM2tINU8PZ8Xp2xPM63qX746ZTbSMYOGT65k6oY0VC06h0uKlws3MzMyGku8ol0h3zw42bNlJVFpBLfy2u48NW3bS3bOj6NDMzMzMGo4b5RLZtLWXXbv7/nFs1+4+Nm/tLSgiMzMzs8blRrlEjusYw8jWyj+OjWytMLljTEERmZmZmTUuN8ol0jlpPFMntDGqtYKAUa0Vpk5oo3PS+KJDMzMzM2s4fpmvRCotYsWCU+ju2cHmrb1M7hhD56TxfpHPzMzMbD9wo1wylRZxzrHtnHNse9GhmJmZmTU0P3phZmZmZpah5kZZUpektyXdluPcpZJm/7fQzMzMzMyKU1OjLOkyoBIRM4GJko4Z5NwzgMMj4sX/GaOZmZmZ2bCr9Y5yJ/B0uv06cHrWSZIOAB4BvpB0yX+OzszMzMysIIO+zCfpYWBSv0NnAV3p9g/A9CrfOh/YDNwLLJR0VEQ8mPHzrwOuS3d/kdRTQ+xD6TDg+4J+d9k4V/k5V/k5V/k5V/k5V7VxvvJzrvKr11wdneekQRvliLi+/76kB4CR6e5BVL8jPQ1YHhHbJT0BLAH2aZQjYjmwPE+g+5OkDyLixKLjKAPnKj/nKj/nKj/nKj/nqjbOV37OVX5lz1Wtj158yN7HLU4Avqhy3ufAxHT7RODLmiMzMzMzMytQrfMovwCsk9QBXADMkDQZuDIi+s+C0QU8KmkucABw+ZBEa2ZmZmY2TGpqlCOiV1InMAu4NyJ+An4Cbhtw3s/AFUMV5DAo/PGPEnGu8nOu8nOu8nOu8nOuajr0lP8AAAOcSURBVON85edc5VfqXCkiio7BzMzMzKzueGU+MzMzs0FIGitplqTDio7FhpcbZftXkkZI+kpSd/p1fNExWflJape0Lt0+UtLX/WpsXNHxWflIOkTSq5Jel/S8pFaPXdW5+ctH0qHAS8DJwBuSxrmumkfTP3ohqQuYDLwcEXcVHU89kjQdmBMRi4uOpd5JageejYgz0oV3ngPGAl0R8Wix0dWP9MLzJDA+Iqanq362R8SygkOrO5IOAZ4CKsCvwBxgGR639iHpRuCziFglaRmwDRjtsWtf6d/gy+nXXOBs4B5cV/uQdBbwe0S8I+k+4DtgrOuquvRa+FpETCt7n9XUd5RrWZK7yc0ALpL0nqQuSbXOltIU0gvP48Do9NBC4MOIOA24XNLBhQVXf/pIGr7edH8GcK2kjyTdXVxYdekq4P6IOA/YTtLUeNzKEBFLI2JVujsO+AOPXdVMARZFxBJgJUmj7LrKEBFvpk3ymSR3lXfhuvo39wEjG6HPaupGmZxLchvvA+dGxMkk0/1dWHA89Wpg89fJ3vpaSzKnuJHMoJPOmvOXV0nydRIwU9KUQgKrQxnN39V43BqUpJnAocAqPHZlymj+zsd1VZUkkYzvPwLrcV1VJelskk+/ttMAfVazN8qjgW/S7R+A9gJjqWcbI2Jbuv0BULr/CIdDRvPn+srvrYj4OSL6SC5CrrEB+jV/W3BdVSVpLMlKsNfgsWtQA5q/wHVVVSRuAjYCHa6rbJJagduBm9NDpb8ONnuj/Av5luRudisknSCpAlwKfFx0QCXh+spvpaQjJI0CzgM+KTqgejKg+XNdVZFepJ8BbomIL/HYNagBzd+puK4ySVosaX662wY85Lqq6mZgaUTsTPdLP16VLuAhlndJ7mZ3J7AC2AC8HRGrC46nLFxf+d0BvAG8AzwUET0Fx1M3Mpo/11V1C4DpwK2SuoFNeOzKlNH83YPrqprlwDxJa0leqj0T11U15wI3pX9/U4HZlLyumnrWC0ljgHXAGtIluQd8dG5WM0ndEdEp6WjgFWA1yd2aGemjBWa5SboBuJu9d60eAxbhccv+h/Tl46eBA0k+wbmF5F0K15UNibRZvpiS91lN3SjD34PFLGBtRGwvOh5rLJI6SP6bXlm2wcHql8ct2x9cV7Y/lL2umr5RNjMzMzPL0uzPKJuZmZmZZXKjbGZmZmaWwY2ymZmZmVkGN8pmZmZmZhncKJuZmZmZZfgT7/UI5GzGcGMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax1 = fig.add_subplot(211)\n",
    "fig = sm.graphics.tsa.plot_acf(arma_rvs, lags=40, ax=ax1)\n",
    "ax2 = fig.add_subplot(212)\n",
    "fig = sm.graphics.tsa.plot_pacf(arma_rvs, lags=40, ax=ax2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* For mixed ARMA processes the Autocorrelation function is a mixture of exponentials and damped sine waves after (q-p) lags.\n",
    "* The partial autocorrelation function is a mixture of exponentials and dampened sine waves after (p-q) lags."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "            AC           Q      Prob(>Q)\n",
      "lag                                     \n",
      "1.0   0.254921   32.687686  1.082207e-08\n",
      "2.0  -0.172416   47.670760  4.450675e-11\n",
      "3.0  -0.420945  137.159401  1.548459e-29\n",
      "4.0  -0.046875  138.271311  6.617670e-29\n",
      "5.0   0.103240  143.675920  2.958703e-29\n",
      "6.0   0.214864  167.133008  1.823710e-33\n",
      "7.0  -0.000889  167.133410  1.009201e-32\n",
      "8.0  -0.045418  168.185763  3.094820e-32\n",
      "9.0  -0.061445  170.115812  5.837188e-32\n",
      "10.0  0.034623  170.729865  1.958728e-31\n",
      "11.0  0.006351  170.750566  8.267016e-31\n",
      "12.0 -0.012882  170.835919  3.220218e-30\n",
      "13.0 -0.053959  172.336557  6.181168e-30\n",
      "14.0 -0.016606  172.478974  2.160205e-29\n",
      "15.0  0.051742  173.864497  4.089528e-29\n",
      "16.0  0.078917  177.094291  3.217921e-29\n",
      "17.0 -0.001834  177.096039  1.093163e-28\n",
      "18.0 -0.101604  182.471947  3.103809e-29\n",
      "19.0 -0.057342  184.187782  4.624044e-29\n",
      "20.0  0.026975  184.568297  1.235664e-28\n",
      "21.0  0.062359  186.605973  1.530251e-28\n",
      "22.0 -0.009400  186.652375  4.548174e-28\n",
      "23.0 -0.068037  189.088196  4.561988e-28\n",
      "24.0 -0.035566  189.755212  9.901047e-28\n",
      "25.0  0.095679  194.592632  3.354274e-28\n",
      "26.0  0.065650  196.874888  3.487605e-28\n",
      "27.0 -0.018404  197.054624  9.008704e-28\n",
      "28.0 -0.079244  200.394019  5.773687e-28\n",
      "29.0  0.008499  200.432512  1.541379e-27\n",
      "30.0  0.053372  201.953786  2.133182e-27\n",
      "31.0  0.074816  204.949405  1.550154e-27\n",
      "32.0 -0.071187  207.667251  1.262283e-27\n",
      "33.0 -0.088145  211.843166  5.480790e-28\n",
      "34.0 -0.025283  212.187460  1.215222e-27\n",
      "35.0  0.125690  220.714907  8.231576e-29\n",
      "36.0  0.142724  231.734130  1.923072e-30\n",
      "37.0  0.095768  236.706172  5.937751e-31\n",
      "38.0 -0.084744  240.607814  2.890873e-31\n",
      "39.0 -0.150126  252.878996  3.962977e-33\n",
      "40.0 -0.083767  256.707753  1.996160e-33\n"
     ]
    }
   ],
   "source": [
    "arma11 = sm.tsa.ARMA(arma_rvs, (1,1)).fit(disp=False)\n",
    "resid = arma11.resid\n",
    "r,q,p = sm.tsa.acf(resid, fft=True, qstat=True)\n",
    "data = np.c_[range(1,41), r[1:], q, p]\n",
    "table = pd.DataFrame(data, columns=['lag', \"AC\", \"Q\", \"Prob(>Q)\"])\n",
    "print(table.set_index('lag'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "            AC          Q  Prob(>Q)\n",
      "lag                                \n",
      "1.0  -0.007889   0.031302  0.859568\n",
      "2.0   0.004132   0.039907  0.980244\n",
      "3.0   0.018103   0.205416  0.976710\n",
      "4.0  -0.006760   0.228539  0.993948\n",
      "5.0   0.018120   0.395024  0.995466\n",
      "6.0   0.050688   1.700448  0.945087\n",
      "7.0   0.010252   1.753954  0.972197\n",
      "8.0  -0.011206   1.818017  0.986092\n",
      "9.0   0.020292   2.028517  0.991009\n",
      "10.0  0.001029   2.029059  0.996113\n",
      "11.0 -0.014035   2.130167  0.997984\n",
      "12.0 -0.023858   2.422924  0.998427\n",
      "13.0 -0.002108   2.425215  0.999339\n",
      "14.0 -0.018783   2.607427  0.999590\n",
      "15.0  0.011316   2.673696  0.999805\n",
      "16.0  0.042159   3.595418  0.999443\n",
      "17.0  0.007943   3.628203  0.999734\n",
      "18.0 -0.074311   6.503852  0.993686\n",
      "19.0 -0.023379   6.789065  0.995256\n",
      "20.0  0.002398   6.792071  0.997313\n",
      "21.0  0.000487   6.792195  0.998516\n",
      "22.0  0.017952   6.961432  0.999024\n",
      "23.0 -0.038576   7.744464  0.998744\n",
      "24.0 -0.029816   8.213247  0.998859\n",
      "25.0  0.077850  11.415821  0.990675\n",
      "26.0  0.040408  12.280445  0.989479\n",
      "27.0 -0.018612  12.464273  0.992262\n",
      "28.0 -0.014764  12.580184  0.994586\n",
      "29.0  0.017650  12.746188  0.996111\n",
      "30.0 -0.005486  12.762261  0.997504\n",
      "31.0  0.058256  14.578542  0.994614\n",
      "32.0 -0.040840  15.473081  0.993887\n",
      "33.0 -0.019493  15.677306  0.995393\n",
      "34.0  0.037269  16.425462  0.995214\n",
      "35.0  0.086212  20.437444  0.976296\n",
      "36.0  0.041271  21.358842  0.974774\n",
      "37.0  0.078704  24.716872  0.938949\n",
      "38.0 -0.029729  25.197050  0.944895\n",
      "39.0 -0.078397  28.543380  0.891179\n",
      "40.0 -0.014466  28.657571  0.909268\n"
     ]
    }
   ],
   "source": [
    "arma41 = sm.tsa.ARMA(arma_rvs, (4,1)).fit(disp=False)\n",
    "resid = arma41.resid\n",
    "r,q,p = sm.tsa.acf(resid, fft=True, qstat=True)\n",
    "data = np.c_[range(1,41), r[1:], q, p]\n",
    "table = pd.DataFrame(data, columns=['lag', \"AC\", \"Q\", \"Prob(>Q)\"])\n",
    "print(table.set_index('lag'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise: How good of in-sample prediction can you do for another series, say, CPI"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "macrodta = sm.datasets.macrodata.load_pandas().data\n",
    "macrodta.index = pd.Index(sm.tsa.datetools.dates_from_range('1959Q1', '2009Q3'))\n",
    "cpi = macrodta[\"cpi\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Hint: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax = fig.add_subplot(111)\n",
    "ax = cpi.plot(ax=ax);\n",
    "ax.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "P-value of the unit-root test, resoundingly rejects the null of a unit-root."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9904328188337421\n"
     ]
    }
   ],
   "source": [
    "print(sm.tsa.adfuller(cpi)[1])"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
